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Finding the Fourth Proportional to 473.46, 708.86 and 267.66

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Solution

The fourth proportional to 473.46, 708.86 and 267.66 is: 400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.46 : 708.86 = 267.66 : x
  2. Step 2: Convert to fraction form
    473.46/708.86 = 267.66/x
  3. Step 3: Cross multiply
    473.46x = 708.86 × 267.66
  4. Step 4: Simplify right side
    473.46x = 189,733.47
  5. Step 5: Solve for x
    x = 189,733.47/473.46
  6. Step 6: Final answer
    x = 400.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.